Elementary Number Theory
1st Corrected ed. 1998. Corr. 2nd printing 1998
Elementary Number Theory by Gareth A. Jones
Book DescriptionAn undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
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Book DetailsISBN: 9783540761976
(235mm x 178mm x 16mm)
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publish Date: 14-Jan-1998
Country of Publication: Germany
Books By Author Gareth A. Jones
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In this book the authors give elementary accounts of many aspects of classical complex function theory including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions.
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